Applications of Pythagorean Theorem

1.

Multiple Choice

3 mins

1 pt

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
$5,\ 9,\ 13$

Not a triangle

Right triangle

Acute triangle

Obtuse triangle

2.

Multiple Choice

3 mins

1 pt

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
$\sqrt{7},\ 4\ ,10$

Not a triangle

Right triangle

Acute triangle

Obtuse triangle

3.

Multiple Choice

3 mins

1 pt

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
$\sqrt{12},\ \sqrt{6},\ \sqrt{20}$

Not a triangle

Right triangle

Acute triangle

Obtuse triangle

4.

Multiple Choice

3 mins

1 pt

Determine whether the set of sides makes a triangle. If yes, determine whether the triangle is right, acute, or obtuse.
$9,\ 9\sqrt{2},\ 9$

Not a triangle

Right triangle

Acute triangle

Obtuse triangle

5.

Multiple Choice

3 mins

1 pt

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

17 miles

32 miles

37 miles

40 miles

6.

Multiple Choice

3 mins

1 pt

Ashley is building a garden and she wants it to be 40' long. She knows that the diagonal measure of the plot is 50'. What is the width?

30 feet

50 feet

40 feet

20 feet

7.

Multiple Choice

3 mins

1 pt

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

25 feet

26 feet

27 feet

28 feet

8.

Multiple Choice

3 mins

1 pt

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

111.8 yards

115 yards

127.3 yards

119 yards

9.

Multiple Choice

3 mins

1 pt

Marcus leans a 12-ft ladder against a wall to clean a window. If the base of the ladder is 3 ft away from the wall, how high up does the ladder reach? Round to the nearest tenth.

12.4 feet

10 feet

11.6 feet

10.6 feet

10.

Multiple Choice

3 mins

1 pt

A sailing ship sails 46 km North and then 74 km East. How far is the ship from its starting point to the nearest km?

67 km

58 km

85 km

87 km

11.

Multiple Choice

3 mins

1 pt

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

210 m

180 m

150 m

79 m

12.

Multiple Choice

3 mins

1 pt

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

5

7

10

12

13.

Multiple Choice

3 mins

1 pt

What is the diagonal length of the iPad?

9.2 in

11 in

13 in

9.6 in

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